\(\Leftrightarrow\dfrac{5-x^2}{2012}=\dfrac{4-x^2}{2013}+1-\dfrac{x^2-3}{2014}\)
\(\Leftrightarrow\dfrac{5-x^2}{2012}+1=\dfrac{4-x^2}{2013}+1+\dfrac{3-x^2}{2014}+1\)
\(\Leftrightarrow2017-x^2=0\)
hay \(x\in\left\{\sqrt{2017};-\sqrt{2017}\right\}\)
\(\Leftrightarrow\dfrac{5-x^2}{2012}=\dfrac{4-x^2}{2013}+1-\dfrac{x^2-3}{2014}\)
\(\Leftrightarrow\dfrac{5-x^2}{2012}+1=\dfrac{4-x^2}{2013}+1+\dfrac{3-x^2}{2014}+1\)
\(\Leftrightarrow2017-x^2=0\)
hay \(x\in\left\{\sqrt{2017};-\sqrt{2017}\right\}\)
Giải phương trình sau:
\(\dfrac{x-1}{2013}\)+\(\dfrac{x-2}{2012}\)+\(\dfrac{x-3}{2011}\)=\(\dfrac{x-4}{2010}\)+\(\dfrac{x-5}{2009}\)+\(\dfrac{x-6}{2008}\)
Tìm x:
\(\dfrac{x}{2010}+\dfrac{x+1}{2011}+\dfrac{x+2}{2012}+\dfrac{x+3}{2013}+\dfrac{x+4}{2014}=5\)
giải phương trình:\(\dfrac{x-1}{2013}+\dfrac{x-2}{2012}+\dfrac{x-3}{2011}=\dfrac{x-4}{2010}\)
Tìm x biết:
\(\dfrac{x+1}{2015}+\dfrac{x+2}{2014}+\dfrac{x+3}{2013}+\dfrac{x+4}{2012}+\dfrac{x+2024}{2}=0\)
Tìm x biết:
\(\dfrac{x+1}{2015}+\dfrac{x+2}{2014}=\dfrac{x+3}{2013}+\dfrac{x+4}{2012}\)
Giải phương trình :
a)\(\dfrac{3x-2}{5}+\dfrac{x-1}{9}=\dfrac{14x-3}{15}-\dfrac{2x+1}{9}\)
b)\(\dfrac{x+3}{2}-\dfrac{2-x}{3}-1=\dfrac{x+5}{6}\)
c)\(\dfrac{x+5}{2010}+\dfrac{x+4}{2011}+\dfrac{x+3}{2012}+\dfrac{x+2}{2013}=-4\)
d)\(\dfrac{x-12}{77}+\dfrac{x-11}{78}=\dfrac{x-74}{15}+\dfrac{x-72}{16}\)
Giải phương trình:
a)\(\dfrac{x+5}{2010}+\dfrac{x+4}{2011}+\dfrac{x+3}{2012}+\dfrac{x+2}{2013}=-4\)
b)\(\dfrac{x-12}{77}+\dfrac{x-11}{78}=\dfrac{x-74}{15}+\dfrac{x-72}{16}\)
Giải bpt sau:
\(\dfrac{x+3}{2011}\)+\(\dfrac{x+2}{2012}\)+\(\dfrac{x+1}{2013}\)≥\(\dfrac{3x}{2014}\)
Giải phương trình sau :
\(\dfrac{2-x}{2011}-1=\dfrac{1-x}{2012}-\dfrac{x}{2013}\)